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Finding the Fourth Proportional to 7,568.45, 11,357.14 and 3,185.57

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Solution

The fourth proportional to 7,568.45, 11,357.14 and 3,185.57 is: 4,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.45 : 11,357.14 = 3,185.57 : x
  2. Step 2: Convert to fraction form
    7,568.45/11,357.14 = 3,185.57/x
  3. Step 3: Cross multiply
    7,568.45x = 11,357.14 × 3,185.57
  4. Step 4: Simplify right side
    7,568.45x = 36,178,948.54
  5. Step 5: Solve for x
    x = 36,178,948.54/7,568.45
  6. Step 6: Final answer
    x = 4,780.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.